adds up to 1,000, the initial price of the bond. Because bank assets and liabilities are roughly equal in size, if their durations are also equal, any change in interest rates will affect the value of assets and liabilities equally. Sometimes we can be misled into thinking that it measures which part of the yield curve the instrument is sensitive. In India, the tax on income from deep discount bonds can arise in two ways: interest or capital gains. Modified duration can be expressed as the percent change in price per one percentage point change in yield per year (for example yield going from 8 per year (y.08) to 9 per year (y.09). Other articles in this series are 1). If there is a lump sum payment then the convexity is the least making it a more risky investment.
In other cases, using convexity can make a significant improvement in the estimation of the price change. . Normally, if interest rates change by 1, a fixed income security's price is likely to experience an inverse change by approximately 1 for each year of duration. This version of duration is known as modified duration. P the bonds price dP an instantaneous change in the bonds price dy an instantaneous change in the bonds yield. In both cases, the zero coupon bond has a higher duration than the 5 coupon bond. . Bond modified duration 5 year 0 coupon.90 5 year 5 coupon.41 10 year 0 coupon.80 10 year 5 coupon.92 The chart shows that the 5 year zero coupon bond has a modified duration.90, which is well below the.80. Due to the varied features of bonds, this is a more difficult objective to accomplish than replicating a stock market index. . Duration is a decreasing function of the coupon rate. This indicates that it takes.8 years before the present value of the cash flows adds up to 1,000, the initial price of the bond. When the bond reaches maturity, its investor receives its par (or face) value.
This calculator calculates implied yield.
Zero Coupon Bond ; It calculates Excel's xirr equivalent yield to maturity of a discounted bond.
For MBAs, CFAs: An Introduction.
Bond Portfolios: Bond Strategies, Duration, Modified Duration, Convexity, etc.
Bond investors are faced with reinvestment-the threat that if interest rates fall, the interest payments and principal that investors receive will have.